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Finding the Third Proportional to 328,579 and 494,326

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Solution

The third proportional to 328,579 and 494,326 is: 743,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,579 : 494,326 = 494,326 : x
  2. Step 2: Convert to fraction form
    328,579/494,326 = 494,326/x
  3. Step 3: Cross multiply
    328,579x = 494,326 × 494,326
  4. Step 4: Simplify right side
    328,579x = 244,358,194,276
  5. Step 5: Solve for x
    x = 244,358,194,276/328,579
  6. Step 6: Final answer
    x = 743,681.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.